1. Population (millions)
example 4
U.S. Population
The total U.S. population for selected years beginning in 1960 and projected to 2050 is
shown in the table, with the population given in millions.
Align the data to represent the number of years from 1960, and draw a scatter plot of the data.
Create a linear equation that is the best fit for these data, where y is in millions and x is the number of years from 1960.
Year
Population (millions)
1960
1995
1965
1998
1970
2000
1975
2003
1980
2025
1985
2050
1990
Chapter 2.2
2009 PBLPathways

2. Population (millions)
The total U.S. population for selected years beginning in 1960 and projected to 2050 is
shown in the table, with the population given in millions.
Align the data to represent the number of years from 1960, and draw a scatter plot of the data.
Create a linear equation that is the best fit for these data, where y is in millions and x is the number of years from 1960.
Year
Population (millions)
1960
1995
1965
1998
1970
2000
1975
2003
1980
2025
1985
2050
1990

3. Population (millions)
The total U.S. population for selected years beginning in 1960 and projected to 2050 is
shown in the table, with the population given in millions.
Graph the equation of the linear model on the same graph with the scatter plot and discuss how well the model fits the data.
Align the data to represent the years after 1950 and create a linear equation that is the best fit for the data, where y is in millions.
Year
Population (millions)
1960
1995
1965
1998
1970
2000
1975
2003
1980
2025
1985
2050
1990

4. Population (millions)
The total U.S. population for selected years beginning in 1960 and projected to 2050 is
shown in the table, with the population given in millions.
How do the x-values for a given year differ?
Use both unrounded models to estimate the population in 1997 and in Are the estimates equal?
Year
Population (millions)
1960
1995
1965
1998
1970
2000
1975
2003
1980
2025
1985
2050
1990

5. Population (millions)
Align the data to represent the number of years from 1960, and draw a scatter plot of the data.
Year
Population (millions)
1960
1995
1965
1998
1970
2000
1975
2003
1980
2025
1985
2050
1990

6. Population (millions)
Align the data to represent the number of years from 1960, and draw a scatter plot of the data.
Years after 1960
Population (millions) 35 5 38 10 40 15 43 20 65 25 90 30

7. Population (millions)
Align the data to represent the number of years from 1960, and draw a scatter plot of the data.
Years after 1960
Population (millions) 35 5 38 10 40 15 43 20 65 25 90 30

8. Population (millions)
Create a linear equation that is the best fit for these data, where y is in millions and x is the number of years from 1960.
Years after 1960
Population (millions) 35 5 38 10 40 15 43 20 65 25 90 30

9. Population (millions)
Create a linear equation that is the best fit for these data, where y is in millions and x is the number of years from 1960.
Years after 1960
Population (millions) 35 5 38 10 40 15 43 20 65 25 90 30

10. Population (millions)
Create a linear equation that is the best fit for these data, where y is in millions and x is the number of years from 1960.
Years after 1960
Population (millions) 35 5 38 10 40 15 43 20 65 25 90 30
Population in millions
Years after 1960

11. Population (millions)
Create a linear equation that is the best fit for these data, where y is in millions and x is the number of years from 1960.
Years after 1960
Population (millions) 35 5 38 10 40 15 43 20 65 25 90 30
Population in millions
Years after 1960

12. Population (millions)
Graph the equation of the linear model on the same graph with the scatter plot and discuss how well the model fits the data.
Years after 1960
Population (millions) 35 5 38 10 40 15 43 20 65 25 90 30

13. Population (millions)
Graph the equation of the linear model on the same graph with the scatter plot and discuss how well the model fits the data.
Years after 1960
Population (millions) 35 5 38 10 40 15 43 20 65 25 90 30

14. Population (millions)
Align the data to represent the years after 1950 and create a linear equation that is the best fit for the data, where y is in millions.
Year
Population (millions)
1960
1995
1965
1998
1970
2000
1975
2003
1980
2025
1985
2050
1990

15. Population (millions)
Align the data to represent the years after 1950 and create a linear equation that is the best fit for the data, where y is in millions.
Years after 1950
Population (millions) 10 45 15 48 20 50 25 53 30 75 35
100 40

16. Population (millions)
Align the data to represent the years after 1950 and create a linear equation that is the best fit for the data, where y is in millions.
Years after 1950
Population (millions) 10 45 15 48 20 50 25 53 30 75 35
100 40

17. Population in millions Years after 1950 Population (millions)
Align the data to represent the years after 1950 and create a linear equation that is the best fit for the data, where y is in millions.
Population in millions
Years after 1950
Years after 1950
Population (millions) 10 45 15 48 20 50 25 53 30 75 35
100 40

18. Population (millions)
How do the x-values for a given year differ?
Years after 1950
Population (millions) 10 45 15 48 20 50 25 53 30 75 35
100 40

19. How do the x-values for a given year differ? Population (millions)
Years after 1950
Population (millions) 10 45 15 48 20 50 25 53 30 75 35
100 40
Years after 1960
Population (millions) 35 5 38 10 40 15 43 20 65 25 90 30

20. How do the x-values for a given year differ? Population (millions)
Years after 1950
Population (millions) 10 45 15 48 20 50 25 53 30 75 35
100 40
Years after 1960
Population (millions) 35 5 38 10 40 15 43 20 65 25 90 30

21. Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal?

22. Population in millions Years after 1960 Population in millions
Use both unrounded models to estimate the population in 1997 and in Are the estimates equal?
Population in millions
Years after 1960
Population in millions
Years after 1950

23. Population in millions Years after 1960 Population in millions
Use both unrounded models to estimate the population in 1997 and in Are the estimates equal?
Population in millions
Years after 1960
Population in millions
Years after 1950

24. Population in millions Years after 1960 Population in millions
Use both unrounded models to estimate the population in 1997 and in Are the estimates equal?
Population in millions
Years after 1960
Population in millions
Years after 1950

25. Population in millions Years after 1960 Population in millions
Use both unrounded models to estimate the population in 1997 and in Are the estimates equal?
Population in millions
Years after 1960
Population in millions
Years after 1950

26. Population in millions Years after 1960 Population in millions
Use both unrounded models to estimate the population in 1997 and in Are the estimates equal?
Population in millions
Years after 1960
Population in millions
Years after 1950

27. Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal?
Change

28. Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal?
Change

29. Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal?
Change

30. Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal?
Change

31. Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal?
Change